13.692 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.047 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.049 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.050 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.050 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.071 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.071 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.071 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.071 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (log N) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.092 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.092 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.092 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.093 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.093 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.093 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.128 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.128 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.128 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.128 * [taylor]: Taking taylor expansion of 1.0 in N 0.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.129 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.129 * [taylor]: Taking taylor expansion of -1 in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.130 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.130 * [taylor]: Taking taylor expansion of 1.0 in N 0.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.131 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.131 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.131 * [taylor]: Taking taylor expansion of -1 in N 0.131 * [taylor]: Taking taylor expansion of N in N 0.164 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.164 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.164 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.165 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.165 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.180 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [taylor]: Taking taylor expansion of 1.0 in N 0.180 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.193 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.193 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.193 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.208 * * * [progress]: simplifying candidates 0.209 * [simplify]: Simplifying using # : (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.213 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.218 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.234 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.328 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.331 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) 0.331 * * * [progress]: adding candidates to table 0.452 * * [progress]: iteration 2 / 4 0.452 * * * [progress]: picking best candidate 0.456 * * * * [pick]: Picked # 0.457 * * * [progress]: localizing error 0.461 * * * [progress]: generating rewritten candidates 0.461 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.466 * * * [progress]: generating series expansions 0.466 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.466 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.466 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.466 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.466 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.466 * [taylor]: Taking taylor expansion of N in N 0.466 * [taylor]: Taking taylor expansion of 1.0 in N 0.466 * [taylor]: Taking taylor expansion of N in N 0.467 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.467 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.467 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.467 * [taylor]: Taking taylor expansion of N in N 0.467 * [taylor]: Taking taylor expansion of 1.0 in N 0.467 * [taylor]: Taking taylor expansion of N in N 0.483 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.483 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.483 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.484 * [taylor]: Taking taylor expansion of 1.0 in N 0.486 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.486 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.486 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [taylor]: Taking taylor expansion of 1.0 in N 0.512 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.512 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.512 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.512 * [taylor]: Taking taylor expansion of -1 in N 0.512 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.512 * [taylor]: Taking taylor expansion of 1.0 in N 0.512 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.512 * [taylor]: Taking taylor expansion of N in N 0.515 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.515 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.515 * [taylor]: Taking taylor expansion of -1 in N 0.515 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.515 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.515 * [taylor]: Taking taylor expansion of 1.0 in N 0.515 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.550 * * * [progress]: simplifying candidates 0.551 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.554 * * [simplify]: iteration 0 : 172 enodes (cost 216 ) 0.557 * * [simplify]: iteration 1 : 471 enodes (cost 200 ) 0.565 * * [simplify]: iteration 2 : 2042 enodes (cost 190 ) 0.608 * * [simplify]: iteration 3 : 5002 enodes (cost 187 ) 0.609 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (fma N 1.0 (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) 0.609 * * * [progress]: adding candidates to table 0.663 * * [progress]: iteration 3 / 4 0.663 * * * [progress]: picking best candidate 0.668 * * * * [pick]: Picked # 0.668 * * * [progress]: localizing error 0.678 * * * [progress]: generating rewritten candidates 0.678 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.697 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.706 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.710 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.722 * * * [progress]: generating series expansions 0.722 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.722 * [approximate]: Taking taylor expansion of (+ (log (sqrt (/ 1 N))) (log (* (sqrt (/ 1 N)) (+ N 1.0)))) in (N) around 0 0.722 * [taylor]: Taking taylor expansion of (+ (log (sqrt (/ 1 N))) (log (* (sqrt (/ 1 N)) (+ N 1.0)))) in N 0.722 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 0.722 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.722 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.722 * [taylor]: Taking taylor expansion of N in N 0.728 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 0.728 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 0.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.729 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.729 * [taylor]: Taking taylor expansion of N in N 0.729 * [taylor]: Taking taylor expansion of 1.0 in N 0.731 * [taylor]: Taking taylor expansion of (+ (log (sqrt (/ 1 N))) (log (* (sqrt (/ 1 N)) (+ N 1.0)))) in N 0.731 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 0.731 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.731 * [taylor]: Taking taylor expansion of N in N 0.733 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 0.733 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 0.733 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.733 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.733 * [taylor]: Taking taylor expansion of N in N 0.734 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.734 * [taylor]: Taking taylor expansion of N in N 0.734 * [taylor]: Taking taylor expansion of 1.0 in N 0.781 * [approximate]: Taking taylor expansion of (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1.0)))) in (N) around 0 0.782 * [taylor]: Taking taylor expansion of (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1.0)))) in N 0.782 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 0.782 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.782 * [taylor]: Taking taylor expansion of N in N 0.783 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 0.783 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 0.783 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.783 * [taylor]: Taking taylor expansion of N in N 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.784 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.784 * [taylor]: Taking taylor expansion of N in N 0.784 * [taylor]: Taking taylor expansion of 1.0 in N 0.787 * [taylor]: Taking taylor expansion of (+ (log (sqrt N)) (log (* (sqrt N) (+ (/ 1 N) 1.0)))) in N 0.787 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 0.787 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.787 * [taylor]: Taking taylor expansion of N in N 0.788 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 0.788 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 0.788 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.788 * [taylor]: Taking taylor expansion of N in N 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.789 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.789 * [taylor]: Taking taylor expansion of N in N 0.790 * [taylor]: Taking taylor expansion of 1.0 in N 0.839 * [approximate]: Taking taylor expansion of (+ (log (/ 1 (sqrt (/ -1 N)))) (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in (N) around 0 0.839 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sqrt (/ -1 N)))) (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 0.839 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 0.839 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 0.839 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.839 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.839 * [taylor]: Taking taylor expansion of -1 in N 0.839 * [taylor]: Taking taylor expansion of N in N 0.841 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 0.841 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 0.841 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.841 * [taylor]: Taking taylor expansion of 1.0 in N 0.841 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.841 * [taylor]: Taking taylor expansion of N in N 0.841 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.841 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.841 * [taylor]: Taking taylor expansion of -1 in N 0.841 * [taylor]: Taking taylor expansion of N in N 0.843 * [taylor]: Taking taylor expansion of (+ (log (/ 1 (sqrt (/ -1 N)))) (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 0.843 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 0.843 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 0.843 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.843 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.843 * [taylor]: Taking taylor expansion of -1 in N 0.843 * [taylor]: Taking taylor expansion of N in N 0.845 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 0.845 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 0.845 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.845 * [taylor]: Taking taylor expansion of 1.0 in N 0.845 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.845 * [taylor]: Taking taylor expansion of N in N 0.845 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.845 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.845 * [taylor]: Taking taylor expansion of -1 in N 0.845 * [taylor]: Taking taylor expansion of N in N 0.900 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.900 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in (N) around 0 0.900 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 0.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.900 * [taylor]: Taking taylor expansion of N in N 0.901 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.901 * [taylor]: Taking taylor expansion of N in N 0.901 * [taylor]: Taking taylor expansion of 1.0 in N 0.901 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 0.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.902 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.902 * [taylor]: Taking taylor expansion of N in N 0.903 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.903 * [taylor]: Taking taylor expansion of N in N 0.903 * [taylor]: Taking taylor expansion of 1.0 in N 0.917 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in (N) around 0 0.917 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 0.917 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.917 * [taylor]: Taking taylor expansion of N in N 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.918 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.918 * [taylor]: Taking taylor expansion of N in N 0.918 * [taylor]: Taking taylor expansion of 1.0 in N 0.918 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 0.918 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.918 * [taylor]: Taking taylor expansion of N in N 0.919 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.919 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.919 * [taylor]: Taking taylor expansion of N in N 0.919 * [taylor]: Taking taylor expansion of 1.0 in N 0.933 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 0.933 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 0.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.933 * [taylor]: Taking taylor expansion of 1.0 in N 0.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.933 * [taylor]: Taking taylor expansion of N in N 0.933 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.933 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.933 * [taylor]: Taking taylor expansion of -1 in N 0.933 * [taylor]: Taking taylor expansion of N in N 0.935 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 0.935 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.935 * [taylor]: Taking taylor expansion of 1.0 in N 0.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.935 * [taylor]: Taking taylor expansion of N in N 0.936 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.936 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.936 * [taylor]: Taking taylor expansion of -1 in N 0.936 * [taylor]: Taking taylor expansion of N in N 0.950 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.950 * [approximate]: Taking taylor expansion of (sqrt (/ 1 N)) in (N) around 0 0.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.950 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.950 * [taylor]: Taking taylor expansion of N in N 0.951 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.951 * [taylor]: Taking taylor expansion of N in N 0.957 * [approximate]: Taking taylor expansion of (sqrt N) in (N) around 0 0.957 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.957 * [taylor]: Taking taylor expansion of N in N 0.958 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.958 * [taylor]: Taking taylor expansion of N in N 0.964 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in (N) around 0 0.964 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 0.964 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.964 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.964 * [taylor]: Taking taylor expansion of -1 in N 0.964 * [taylor]: Taking taylor expansion of N in N 0.965 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 0.965 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.965 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.965 * [taylor]: Taking taylor expansion of -1 in N 0.965 * [taylor]: Taking taylor expansion of N in N 0.979 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.980 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 N))) in (N) around 0 0.980 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 0.980 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.980 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.980 * [taylor]: Taking taylor expansion of N in N 0.981 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 0.981 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.981 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.981 * [taylor]: Taking taylor expansion of N in N 1.000 * [approximate]: Taking taylor expansion of (log (sqrt N)) in (N) around 0 1.000 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 1.000 * [taylor]: Taking taylor expansion of (sqrt N) in N 1.000 * [taylor]: Taking taylor expansion of N in N 1.001 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 1.001 * [taylor]: Taking taylor expansion of (sqrt N) in N 1.001 * [taylor]: Taking taylor expansion of N in N 1.019 * [approximate]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in (N) around 0 1.019 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 1.019 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.019 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.019 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.019 * [taylor]: Taking taylor expansion of -1 in N 1.019 * [taylor]: Taking taylor expansion of N in N 1.021 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 N)))) in N 1.021 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.021 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.021 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.021 * [taylor]: Taking taylor expansion of -1 in N 1.021 * [taylor]: Taking taylor expansion of N in N 1.045 * * * [progress]: simplifying candidates 1.051 * [simplify]: Simplifying using # : (expm1 (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (log1p (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N))) (log (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (exp (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (cbrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (cbrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))) (cbrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (* (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (sqrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (sqrt (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (pow (log (/ 1 (sqrt N))) 3) (pow (log (/ (+ N 1.0) (sqrt N))) 3)) (+ (* (log (/ 1 (sqrt N))) (log (/ 1 (sqrt N)))) (- (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (* (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))) (- (* (log (/ 1 (sqrt N))) (log (/ 1 (sqrt N)))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (- (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (log (/ 1 (sqrt N))) (log (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (log (/ 1 (sqrt N))) (log (sqrt (/ (+ N 1.0) (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1)))) (+ (log (/ 1 (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (+ (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt 1)))) (+ (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 1))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (log (/ 1 (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (log (/ 1 (sqrt N))) (log 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N))) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt N)) (/ 1 (sqrt N)) (sqrt N) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ 1 (/ (fabs (cbrt N)) 1)) (/ 1 (sqrt (sqrt N))) 1 (/ 1 (sqrt (sqrt N))) 1 (sqrt N) (sqrt N) (sqrt N) (expm1 (log (/ 1 (sqrt N)))) (log1p (log (/ 1 (sqrt N)))) (* 2 (log (cbrt (/ 1 (sqrt N))))) (log (cbrt (/ 1 (sqrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ 1 (cbrt (sqrt N)))) (- 0 (log (/ (fabs (cbrt N)) 1))) (log (/ 1 (sqrt (cbrt N)))) (log (/ 1 (sqrt (sqrt N)))) (log (/ 1 (sqrt (sqrt N)))) 0 (log (/ 1 (sqrt N))) (log (/ 1 (sqrt (sqrt N)))) (log (/ 1 (sqrt (sqrt N)))) 0 (log (/ 1 (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ 1 (cbrt (sqrt N)))) (- 0 (log (/ (fabs (cbrt N)) 1))) (log (/ 1 (sqrt (cbrt N)))) (log (/ 1 (sqrt (sqrt N)))) (log (/ 1 (sqrt (sqrt N)))) 0 (log (/ 1 (sqrt N))) (log (/ 1 (sqrt 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N (- +nan.0))) (+ (/ +nan.0 (pow N 2)) (- (fma +nan.0 1 (/ +nan.0 N)))) (+ (fma +nan.0 N (- +nan.0)) (/ (- +nan.0) N)) (fma (- (pow N 2)) +nan.0 (fma +nan.0 N (- +nan.0))) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) (+ (/ +nan.0 (pow N 2)) (- (fma +nan.0 1 (/ +nan.0 N)))) (+ (- (log +nan.0) (* +nan.0 (pow N 2))) (* +nan.0 N)) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (- (log +nan.0) (log N))) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (log +nan.0)) 1.109 * * * [progress]: adding candidates to table 1.519 * * [progress]: iteration 4 / 4 1.519 * * * [progress]: picking best candidate 1.527 * * * * [pick]: Picked # 1.527 * * * [progress]: localizing error 1.538 * * * [progress]: generating rewritten candidates 1.538 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.542 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.546 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.549 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.557 * * * [progress]: generating series expansions 1.557 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.557 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 1.557 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.557 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.557 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.557 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.557 * [taylor]: Taking taylor expansion of 1/3 in N 1.557 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.557 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.557 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.557 * [taylor]: Taking taylor expansion of N in N 1.557 * [taylor]: Taking taylor expansion of 1.0 in N 1.557 * [taylor]: Taking taylor expansion of N in N 1.560 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.560 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.560 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.560 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.560 * [taylor]: Taking taylor expansion of 1/3 in N 1.560 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.560 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.560 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.560 * [taylor]: Taking taylor expansion of N in N 1.560 * [taylor]: Taking taylor expansion of 1.0 in N 1.560 * [taylor]: Taking taylor expansion of N in N 1.590 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.590 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.590 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.590 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.590 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.590 * [taylor]: Taking taylor expansion of 1/3 in N 1.590 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.590 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.590 * [taylor]: Taking taylor expansion of N in N 1.590 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.590 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.590 * [taylor]: Taking taylor expansion of N in N 1.590 * [taylor]: Taking taylor expansion of 1.0 in N 1.599 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.599 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.599 * [taylor]: Taking taylor expansion of 1/3 in N 1.599 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.599 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.599 * [taylor]: Taking taylor expansion of N in N 1.599 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.599 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.599 * [taylor]: Taking taylor expansion of N in N 1.600 * [taylor]: Taking taylor expansion of 1.0 in N 1.672 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.672 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.672 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.672 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.672 * [taylor]: Taking taylor expansion of -1 in N 1.673 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.673 * [taylor]: Taking taylor expansion of 1/3 in N 1.673 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.673 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.673 * [taylor]: Taking taylor expansion of N in N 1.673 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.673 * [taylor]: Taking taylor expansion of 1.0 in N 1.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.673 * [taylor]: Taking taylor expansion of N in N 1.680 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.680 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.680 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.680 * [taylor]: Taking taylor expansion of -1 in N 1.680 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.680 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.680 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.680 * [taylor]: Taking taylor expansion of 1/3 in N 1.680 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.680 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.680 * [taylor]: Taking taylor expansion of N in N 1.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.681 * [taylor]: Taking taylor expansion of 1.0 in N 1.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.681 * [taylor]: Taking taylor expansion of N in N 1.757 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.757 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in (N) around 0 1.757 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.758 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.758 * [taylor]: Taking taylor expansion of 1/3 in N 1.758 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.758 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.758 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.758 * [taylor]: Taking taylor expansion of N in N 1.758 * [taylor]: Taking taylor expansion of 1.0 in N 1.758 * [taylor]: Taking taylor expansion of N in N 1.760 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1.0) N) 1/3)) in N 1.760 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.760 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.760 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.760 * [taylor]: Taking taylor expansion of 1/3 in N 1.760 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.760 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.760 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.760 * [taylor]: Taking taylor expansion of N in N 1.760 * [taylor]: Taking taylor expansion of 1.0 in N 1.760 * [taylor]: Taking taylor expansion of N in N 1.796 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in (N) around 0 1.796 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.796 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.796 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.796 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.796 * [taylor]: Taking taylor expansion of 1/3 in N 1.796 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.796 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.796 * [taylor]: Taking taylor expansion of N in N 1.796 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.796 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.796 * [taylor]: Taking taylor expansion of N in N 1.797 * [taylor]: Taking taylor expansion of 1.0 in N 1.806 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1.0)) 1/3)) in N 1.806 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.806 * [taylor]: Taking taylor expansion of 1/3 in N 1.806 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.806 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.806 * [taylor]: Taking taylor expansion of N in N 1.806 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.806 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.806 * [taylor]: Taking taylor expansion of N in N 1.806 * [taylor]: Taking taylor expansion of 1.0 in N 1.880 * [approximate]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in (N) around 0 1.880 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.880 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.880 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.880 * [taylor]: Taking taylor expansion of -1 in N 1.881 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.881 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.881 * [taylor]: Taking taylor expansion of 1/3 in N 1.881 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.881 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.881 * [taylor]: Taking taylor expansion of N in N 1.881 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.881 * [taylor]: Taking taylor expansion of 1.0 in N 1.881 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.881 * [taylor]: Taking taylor expansion of N in N 1.888 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3))) in N 1.888 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 1.888 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.888 * [taylor]: Taking taylor expansion of -1 in N 1.888 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 1.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 1.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 1.889 * [taylor]: Taking taylor expansion of 1/3 in N 1.889 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 1.889 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.889 * [taylor]: Taking taylor expansion of N in N 1.889 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.889 * [taylor]: Taking taylor expansion of 1.0 in N 1.889 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.889 * [taylor]: Taking taylor expansion of N in N 1.966 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.967 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 1.967 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.967 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.967 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.967 * [taylor]: Taking taylor expansion of 1/3 in N 1.967 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.967 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.967 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.967 * [taylor]: Taking taylor expansion of N in N 1.967 * [taylor]: Taking taylor expansion of 1.0 in N 1.967 * [taylor]: Taking taylor expansion of N in N 1.969 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 1.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 1.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 1.969 * [taylor]: Taking taylor expansion of 1/3 in N 1.969 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.969 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.969 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.969 * [taylor]: Taking taylor expansion of N in N 1.969 * [taylor]: Taking taylor expansion of 1.0 in N 1.969 * [taylor]: Taking taylor expansion of N in N 1.998 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 1.998 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 1.998 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 1.998 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 1.998 * [taylor]: Taking taylor expansion of 1/3 in N 1.998 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.998 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.998 * [taylor]: Taking taylor expansion of N in N 1.998 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.998 * [taylor]: Taking taylor expansion of N in N 1.998 * [taylor]: Taking taylor expansion of 1.0 in N 2.007 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.007 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.007 * [taylor]: Taking taylor expansion of 1/3 in N 2.007 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.007 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.007 * [taylor]: Taking taylor expansion of N in N 2.007 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.007 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.007 * [taylor]: Taking taylor expansion of N in N 2.008 * [taylor]: Taking taylor expansion of 1.0 in N 2.037 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 2.037 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.037 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.037 * [taylor]: Taking taylor expansion of -1 in N 2.038 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.038 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.038 * [taylor]: Taking taylor expansion of 1/3 in N 2.038 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.038 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.038 * [taylor]: Taking taylor expansion of N in N 2.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.038 * [taylor]: Taking taylor expansion of 1.0 in N 2.038 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.038 * [taylor]: Taking taylor expansion of N in N 2.042 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.042 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.042 * [taylor]: Taking taylor expansion of -1 in N 2.043 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.043 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.043 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.043 * [taylor]: Taking taylor expansion of 1/3 in N 2.043 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.043 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.043 * [taylor]: Taking taylor expansion of N in N 2.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.043 * [taylor]: Taking taylor expansion of 1.0 in N 2.043 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.043 * [taylor]: Taking taylor expansion of N in N 2.091 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.092 * [approximate]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in (N) around 0 2.092 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.092 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.092 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.092 * [taylor]: Taking taylor expansion of 1/3 in N 2.092 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.092 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.092 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.092 * [taylor]: Taking taylor expansion of N in N 2.092 * [taylor]: Taking taylor expansion of 1.0 in N 2.092 * [taylor]: Taking taylor expansion of N in N 2.094 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1.0) N) 1/3) in N 2.094 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1.0) N)))) in N 2.094 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1.0) N))) in N 2.094 * [taylor]: Taking taylor expansion of 1/3 in N 2.094 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.094 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.094 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.094 * [taylor]: Taking taylor expansion of N in N 2.094 * [taylor]: Taking taylor expansion of 1.0 in N 2.094 * [taylor]: Taking taylor expansion of N in N 2.128 * [approximate]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in (N) around 0 2.128 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.128 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.128 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.129 * [taylor]: Taking taylor expansion of 1/3 in N 2.129 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.129 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.129 * [taylor]: Taking taylor expansion of N in N 2.129 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.129 * [taylor]: Taking taylor expansion of N in N 2.129 * [taylor]: Taking taylor expansion of 1.0 in N 2.138 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1.0)) 1/3) in N 2.138 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1.0))))) in N 2.138 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1.0)))) in N 2.138 * [taylor]: Taking taylor expansion of 1/3 in N 2.138 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.138 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.138 * [taylor]: Taking taylor expansion of N in N 2.138 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.138 * [taylor]: Taking taylor expansion of N in N 2.138 * [taylor]: Taking taylor expansion of 1.0 in N 2.162 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in (N) around 0 2.162 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.162 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.162 * [taylor]: Taking taylor expansion of -1 in N 2.162 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.162 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.163 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.163 * [taylor]: Taking taylor expansion of 1/3 in N 2.163 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.163 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.163 * [taylor]: Taking taylor expansion of N in N 2.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.163 * [taylor]: Taking taylor expansion of 1.0 in N 2.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.163 * [taylor]: Taking taylor expansion of N in N 2.167 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (* N (- 1.0 (/ 1 N))) 1/3)) in N 2.167 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.167 * [taylor]: Taking taylor expansion of -1 in N 2.167 * [taylor]: Taking taylor expansion of (pow (* N (- 1.0 (/ 1 N))) 1/3) in N 2.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (- 1.0 (/ 1 N)))))) in N 2.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (- 1.0 (/ 1 N))))) in N 2.167 * [taylor]: Taking taylor expansion of 1/3 in N 2.167 * [taylor]: Taking taylor expansion of (log (* N (- 1.0 (/ 1 N)))) in N 2.167 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.167 * [taylor]: Taking taylor expansion of N in N 2.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.168 * [taylor]: Taking taylor expansion of 1.0 in N 2.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.168 * [taylor]: Taking taylor expansion of N in N 2.222 * * * [progress]: simplifying candidates 2.224 * [simplify]: Simplifying using # : (expm1 (log (cbrt (/ (+ N 1.0) N)))) (log1p (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (expm1 (log (cbrt (/ (+ N 1.0) N)))) (log1p (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log (cbrt (/ 1 1))) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt 1)) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (log (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log 1) (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (exp (log (cbrt (/ (+ N 1.0) N)))) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (* (* (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (cbrt (/ (cbrt (+ N 1.0)) (cbrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (cbrt (/ (cbrt (+ N 1.0)) (sqrt N))) (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (cbrt (/ (cbrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (cbrt (/ (sqrt (+ N 1.0)) (cbrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) 1)) (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt (/ 1 (* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ 1 1)) (cbrt (/ (+ N 1.0) N)) (cbrt 1) (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (* (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 N) (* 1/3 (log 1.0))) (+ (* 1/6 (/ (pow N 2) (pow 1.0 2))) (* 1/3 (log N)))) (- (+ (* 0.1111111111111111 (/ 1 (pow N 3))) (* 0.3333333333333333 (/ 1 N))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) (log (* (pow -1 1/3) (cbrt -1)))) (* 0.16666666666666666 (/ 1 (pow N 2)))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.3333333333333333 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.05555555555555555 (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2))))) (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (* 0.3333333333333333 (/ 1 N)) 1) (* 0.1111111111111111 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (* (pow -1 1/3) (/ (cbrt -1) N))) (* (pow -1 1/3) (cbrt -1))) (* 0.1111111111111111 (* (pow -1 1/3) (/ (cbrt -1) (pow N 2))))) 2.230 * * [simplify]: iteration 0 : 278 enodes (cost 1088 ) 2.234 * * [simplify]: iteration 1 : 803 enodes (cost 1024 ) 2.249 * * [simplify]: iteration 2 : 3528 enodes (cost 998 ) 2.324 * * [simplify]: iteration 3 : 5002 enodes (cost 962 ) 2.329 * [simplify]: Simplified to: (expm1 (log (cbrt (/ (+ N 1.0) N)))) (log1p (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (cbrt (/ (+ N 1.0) N)) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (expm1 (log (cbrt (/ (+ N 1.0) N)))) (log1p (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (cbrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (cbrt (/ (cbrt (+ N 1.0)) N))) (log (cbrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (cbrt (/ (sqrt (+ N 1.0)) 1))) (log (cbrt (/ (sqrt (+ N 1.0)) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ 1 (* (cbrt N) (cbrt N))))) (log (cbrt (/ (+ N 1.0) (cbrt N)))) (log (cbrt (/ 1 (sqrt N)))) (log (cbrt (/ (+ N 1.0) (sqrt N)))) 0 (log (cbrt (/ (+ N 1.0) N))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt (/ 1 N))) (* 2 (log (cbrt (cbrt (/ (+ N 1.0) N))))) (log (cbrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) 0 (log (cbrt (/ (+ N 1.0) N))) (log (cbrt (+ N 1.0))) (log (cbrt N)) (log (/ (+ N 1.0) N)) (log (cbrt (/ (+ N 1.0) N))) (log (log (cbrt (/ (+ N 1.0) N)))) (cbrt (/ (+ N 1.0) N)) (* (cbrt (log (cbrt (/ (+ N 1.0) N)))) (cbrt (log (cbrt (/ (+ N 1.0) N))))) (cbrt (log (cbrt (/ (+ N 1.0) N)))) (pow (log (cbrt (/ (+ N 1.0) N))) 3) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (sqrt (log (cbrt (/ (+ N 1.0) N)))) (expm1 (cbrt (/ (+ N 1.0) N))) (log1p (cbrt (/ (+ N 1.0) N))) (log (cbrt (/ (+ N 1.0) N))) (exp (cbrt (/ (+ N 1.0) N))) (cbrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) 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(* (cbrt N) (cbrt N)))) (cbrt (/ (+ N 1.0) (cbrt N))) (cbrt (/ 1 (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))) 1 (cbrt (/ (+ N 1.0) N)) 1 (cbrt (/ (+ N 1.0) N)) (cbrt (+ N 1.0)) (cbrt (/ 1 N)) (cbrt (+ N 1.0)) (cbrt N) (* (cbrt (cbrt (/ (+ N 1.0) N))) (cbrt (cbrt (/ (+ N 1.0) N)))) (cbrt (cbrt (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (fma N 0.3333333333333333 (- (* 1/3 (log 1.0)) (fma 1/6 (/ (pow N 2) (pow 1.0 2)) (* 1/3 (log N))))) (fma (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)) (/ 0.1111111111111111 (pow N 3))) (fma 2/3 (log -1) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)))) (fma N 0.3333333333333333 (- (* 1/3 (log 1.0)) (fma 1/6 (/ (pow N 2) (pow 1.0 2)) (* 1/3 (log N))))) (fma (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)) (/ 0.1111111111111111 (pow N 3))) (fma 2/3 (log -1) (* (/ 1 N) (- 0.3333333333333333 (/ 0.16666666666666666 N)))) (fma (exp (* 1/3 (- (log 1.0) (log N)))) (+ (fma N 0.3333333333333333 1) (* 0.05555555555555555 (pow N 2))) (- (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))) (fma (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N)) 1) (fma (- 0.1111111111111111) (/ (/ (pow -1 2/3) N) N) (fma 0.3333333333333333 (/ (pow -1 2/3) N) (pow -1 2/3))) (fma (exp (* 1/3 (- (log 1.0) (log N)))) (+ (fma N 0.3333333333333333 1) (* 0.05555555555555555 (pow N 2))) (- (* 1/6 (/ (* (exp (* 1/3 (- (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2))))) (fma (/ 1 N) (- 0.3333333333333333 (/ 0.1111111111111111 N)) 1) (fma (- 0.1111111111111111) (/ (/ (pow -1 2/3) N) N) (fma 0.3333333333333333 (/ (pow -1 2/3) N) (pow -1 2/3))) 2.330 * * * [progress]: adding candidates to table 2.696 * [progress]: [Phase 3 of 3] Extracting. 2.696 * * [regime]: Finding splitpoints for: (# # # # # #) 2.698 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.698 * * * * [regimes]: Trying to branch on N from (# # # # # #) 2.731 * * * [regime]: Found split indices: #